What MIT has been doing for the last decade is give free access to classes that are better than what most university students in the world are paying tuition for. Granted, you don't get a degree nor the benefit of social interaction with other students and professors, but to the student who is willing to put in the time and effort, this is an unbelievable treasure.
I agree! At age 71 I am now auditing on RU-vid, for free, the lectures on QM that I wish I could have had when I was a sophomore in college, in 1970. The QM lectures I tried to follow at my college then were, as I perceived them, unacceptably awful, and I simply stopped going. Quitting the course like that, on impulse, was foolish of me, and the resulting academic failure was entirely my fault. Yet the fact remains the few lectures I did attend were terrible --- and these MIT lectures are fantastic, superb.
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Pardon me, but I really like his accent, it is so magical like a magician in Hogwarts, and I can't stop extending my fond to quantum physics because of him, his charming accent and slow speaking speed ❤️❤️❤️
I am really really grateful to MIT for providing these online lectures and i also admire the instructor Barton Zwieback for his teaching method thanks MIT
But they removed students asking doubts, which is like grave sin, gods doubts and doubt resolving is key to the classroom efficacy, because instructors cannot say everything.
@nPlatin You didn't really refute his point with that link. Do you really believe that all of those people on that list became what they are 'just' by listening to lectures? Autodidacts have to practice and discuss exercise sets too - just in an environment outside of the classroom.
Siempre una pequeña emoción de ver a un peruano triunfando en el extranjero y mejor si es de mi univ , de mi humilde UNI Tendré un susti en 2 días , te dedido mi próximo 20 querido Barton :")
Thank you MIT OCW for bringing the excellent source of lectures to the open world so that everyone can get knowledge and strive to make some contribution after learning it
The special ability to portray on a proper blackboard and chalk is shown here in it's entirety. I remember my physics teacher at secondary school, chalked in a very similar way to Barton, but the joined up writing was almost illegible, the speed he did it!
It's a very good chance to listen and watch MIT courses (such as being a student in a real university) whoever curious (not only students but also researchers and curious persons) wherever in the whole-world.
I am very grateful to have this available completely for free and it's quite refreshing in today's world of paid courses. Great Initiative of Everybody involved!
@16:13 This is (IMHO) very weird notation. What L = d/dt + 1/tau means is that we are defining L to be an operator, and when you apply that operator to some quantity u, then the result is du/dt + u/tau. One problem that I have with this notation is that Lu suggests that we are simply multiplying d/dt + 1/tau with u, but that's not what's going on. Rather, what this definition of L tells us to do with u is take the derivative with respect to t (plus some other stuff), which is emphatically NOT multiplication. Of course, every linear operator can be expressed as a matrix multiplication (with respect to some basis), which explains why we write Lu, but it's kind of confusing to present it this way without reminding everyone that linear operators and matrices are "the same thing".
The association of the main numbers in the field of mathematics with each other, reflects numerical sequences that correspond to the dimensions of the Earth, the Moon, and the Sun in the unit of measurement in meters, which is: 1' (second) / 299792458 m/s (speed of light in a vacuum). Ramanujan number: 1,729 Earth's equatorial radius: 6,378 km. Golden ratio: 1.61803... • (1,729 x 6,378 x (10^-3)) ^1.61803 x (10^-3) = 3,474.18 Moon's diameter: 3,474 km. Ramanujan number: 1,729 Speed of light: 299,792,458 m/s Earth's Equatorial Diameter: 12,756 km. Earth's Equatorial Radius: 6,378 km. • (1,729 x 299,792,458) / 12,756 / 6,378) = 6,371 Earth's average radius: 6,371 km. The Cubit The cubit = Pi - phi^2 = 0.5236 Lunar distance: 384,400 km. (0.5236 x (10^6) - 384,400) x 10 = 1,392,000 Sun´s diameter: 1,392,000 km. Higgs Boson: 125.35 (GeV) Golden ratio: 1.61803... (125.35 x (10^-1) - 1.61803) x (10^3) = 10,916.97 Circumference of the Moon: 10,916 km. Golden ratio: 1.618 Golden Angle: 137.5 Earth's equatorial radius: 6,378 Universal Gravitation G = 6.67 x 10^-11 N.m^2/kg^2. (((1.618 ^137.5) / 6,378) / 6.67) x (10^-20) = 12,756.62 Earth’s equatorial diameter: 12,756 km. The Euler Number is approximately: 2.71828... Newton’s law of gravitation: G = 6.67 x 10^-11 N.m^2/kg^2. Golden ratio: 1.618ɸ (2.71828 ^ 6.67) x 1.618 x 10 = 12,756.23 Earth’s equatorial diameter: 12,756 km. Planck’s constant: 6.63 × 10-34 m2 kg. Circumference of the Moon: 10,916. Golden ratio: 1.618 ɸ (((6.63 ^ (10,916 x 10^-4 )) x 1.618 x (10^3) = 12,756.82 Earth’s equatorial diameter: 12,756 km. Planck's temperature: 1.41679 x 10^32 Kelvin. Newton’s law of gravitation: G = 6.67 x 10^-11 N.m^2/kg^2. Speed of Sound: 340.29 m/s (1.41679 ^ 6.67) x 340.29 - 1 = 3,474.81 Moon's diameter:: 3,474 km. Cosmic microwave background radiation 2.725 kelvins ,160.4 GHz, Pi: 3.14 Earth's polar radius: 6,357 km. ((2.725 x 160.4) / 3.14 x (10^4) - (6,357 x 10^-3) = 1,392,000 The diameter of the Sun: 1,392,000 km. Numbers 3, 6 & 9 - Nikola Tesla One Parsec = 206265 AU = 3.26 light-years = 3.086 × 10^13 km. The Numbers: 3, 6 and 9 ((3^6) x 9) - (3.086 x (10^3)) -1 = 3,474 The Moon's diameter: 3,474 km. Now we will use the diameter of the Moon. Moon's diameter: 3,474 km. (3.474 + 369 + 1) x (10^2) = 384,400 The term L.D (Lunar Distance) refers to the average distance between the Earth and the Moon, which is 384,400 km. Moon's diameter: 3,474 km. ((3+6+9) x 3 x 6 x 9) - 9 - 3 + 3,474 = 6,378 Earth's equatorial radius: 6,378 km. By Gustavo Muniz
I thought there was going to be four more theories in that episode. I studied derivatives in first year calculus. It’s fairly interesting. I also studied quantitative methods in quantitative economics so I have seen multiple variable analysis in large equations and scatter plots with discrete, unknown and known variables, hypothesis and null hypothesis examples, practices and methods applied mostly to the household. However there’s many application processes. I have also studied linear programming in C# programming. I enjoyed the interpretation of the maxwell equation with four variables and the pairings are quite interesting for application selection. I also liked the practicality of the graph axis explanation and combining the the known and unknown variables. Curious about the gravity equations inclusions into the applications.
So you are not in it for physics but just for the status. Physics today is more of a hoax than really learning about the nature of objects and processes (while what appears to us as an object also is a process - and the other way around...depends on the angle and distance of view).
@@michaelwerd4825 Bro it could be the interest too.I always aspired to become astrophysicist but due to some problem during entrance,I couldn't get sufficient rank to get a engineering physics course at a good college .So I now chose job security and studying C.S. but here I am also perceiving my interest side by side!❤️
@@michaelwerd4825 It's absolutely okay if he wishes for more opportunities. In MIT, you'll come across brilliant people from around the world. The environment also affects the way you learn and understand.
@@IamLegend573 Sorry to take so long to get back to you. I'm reviewing QM this summer. Okay, so Adams is a great guy, and has great presence and delivery. But Zweibach gets into the details a little better, more like my two courses in QM. There are a few "start to finish" QM course playlists here on RU-vid, Zweibach has QM 803.4, .5, and .6. There's Brant Carlson's review of Griffith's text. There are a couple of others. My QM professor told me that yo have to forget something three times before your remember it. So....
"Why must there be complex numbers in quantum mechanics? Because the Schrödinger equation already has an "i" in it" - this is one brilliant explanation!
We don't have to. There is a version that uses quaternions. It just doesn't add anything as far as I know. Neither would a version that would remove "i" and use a vector representation with two real numbers help in any way.
just 3 minutes watched the starting lecture, decided to learn full course videos. thanks for sharing the videos, i will try to utilise to my fullest potential. Thanks to instructor also. :)))
The names being mentioned at the beginning-Schrodinger, Heisenberg, Planck, Einstein sends a shiver down your spine when you realise this is cutting edge stuff by some of the most brilliant minds of the scientific community.
I am 13 trying to get a job at a nuclear plant. Now to do so I only require I high school diploma but to really stand out I am learning this before going to college for the actual diploma. This first lesson I understood very well. Thank you for this.
The centenary of quantum theory (as opposed to quantum mechanics) was on December 14, 2000. That was, to the day, 100 years after Planck solved the ultraviolet catastrophe by introducing the constant now named after him and the notion, to which he gave no physical basis at all, that a blackbody cavity cooled down but radiating light in what he called "quanta" or "packets". In 1905 Einstein interpreted Planck's notion of quanta as discrete particles of light. He found this was helpful in giving a theoretical model of the photoelectric effect, discovered by Hertz and studied by Philipp Lenard. Light, said Einstein, was emitted and absorbed as corpuscles. When he calculates the energy of the photons using Planck's constant, it is the first time a wave-type of equation is connected with the idea of corpuscles. This will become known as wave-particle duality. In 1913 Niels Bohr used the notion of non-decaying orbitals in the hydrogen atom to model and compute hydrogen's spectral lines, the infamous Balmer and Paschen lines. You could make a case that the mechanics part of QM started here since everything which has come since is a theoretical refinement on these ideas. In 1924 De Broglie wrote the first equation for the momentum of a free particle in terms of a matter wave and used that to show that Bohr's orbitals had the property of periodicity of the matter wave. No question that was a big breakthrough. But yeah, 1925 is the big one. That's a watershed year. That's when Schroedinger and Heisenberg both formulate a non-relativistic version of QM and use this bizarre notion of matter waves to describe free particles as de Broglie had, but also the bound states of particles. That same year you also get Max Born writing a paper with Heisenberg and Jordan on the inherently statistical nature of QM. This was a shocking development in theoretical physics: it is a seminal paper in which matrices are introduced into theoretical physics with aplomb and their non-commutative algebra is also discussed. Many of the key elements of quantum theory we know and love arrive in 1925.
WARNING: The limitations of QM: 1. It doesn't treat time and space the same way and therefore violates Special Relativity; 2. It can't explain the creation and destruction of particles; 3. It only deals with massive particles. That's why we needed Quantum Field Theory.
